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53438616 = 2336721117
BaseRepresentation
bin1100101111011…
…0100010011000
310201112222000000
43023312202120
5102140013431
65145213000
71216135500
oct313664230
9121488000
1053438616
112818a250
1215a91160
13b0c05aa
147150a00
154a589e6
hex32f6898

53438616 has 336 divisors, whose sum is σ = 201855240. Its totient is φ = 13063680.

The previous prime is 53438611. The next prime is 53438639. The reversal of 53438616 is 61683435.

53438616 is a `hidden beast` number, since 5 + 3 + 4 + 38 + 616 = 666.

53438616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (51840) is a multiple of the sum of its prime divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53438611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3143440 + ... + 3143456.

Almost surely, 253438616 is an apocalyptic number.

53438616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53438616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100927620).

53438616 is an abundant number, since it is smaller than the sum of its proper divisors (148416624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53438616 is a wasteful number, since it uses less digits than its factorization.

53438616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 53438616 is about 7310.1720909976. The cubic root of 53438616 is about 376.6619357051.

The spelling of 53438616 in words is "fifty-three million, four hundred thirty-eight thousand, six hundred sixteen".